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math.CT2022
From coextensive varieties to the Gaeta topos
William Zuluaga
In this paper, we show that in every coextensive variety V, the assignment that maps each algebra to its set of central elements is both functorial and representable. Furthermore,…
math.CT2019
A syntactical and categorical analysis for Varieties with Right Existentially Defined Factor Congruences
William Zuluaga
In this paper we prove that in the context of varieties with Right Existentially Definable Factor Congruences, definability of the property "e and f are complementary central eleme…
math.CT2018
A Pierce Representation Theorem for varieties with BFC
William Zuluaga
We generalize the Pierce representation theorem for (commutative) rings with unit to other algebraic categories with Definable Factor Congruences by using tools from topos theory.…